Спростіть вираз [tex](\frac{m-4p}{m^{2}+4mp}-\frac{m+4p}{ m^{2}-4mp})[/tex]×[tex]\frac{16p^{2}-m^{2}}{2p^{2}}[/tex]. Created by doposot. algebra-ru

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July 2022 1 6 Report

Спростіть вираз [tex](\frac{m-4p}{m^{2}+4mp}-\frac{m+4p}{ m^{2}-4mp})[/tex]×[tex]\frac{16p^{2}-m^{2}}{2p^{2}}[/tex]

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sedinalana

Verified answer

1)(m-4p)/m(m+4p)-(m+4p)/m(m-4p)=
=(m²-8mp+16p²-m²-8mp-16p²)/(m-4p)(m+4p)m=-16mp/(m-4p)(m+4p)m=
=-16p//(m-4p)(m+4p)
2)-16p/(m-4p)(m+4p)*(4p-m)(4p+m)/2p²=8/p

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